SCIENTIFIC COMPUTING GROUP

Professor Shivkumar Chandrasekaran (shiv@ece)

• Affiliated faculty, Department of Computer Science

• Office: 3109 HFH

• Specialization: numerical analysis, numerical linear algebra, structured matrix decomposition and inversion, fast numerical algorithms

• Recent activities:

  • “MSN interpolation of scattered derivative data”, JCP 2018

  • “Fast Indefinite Multi-Point Clustering”, Calcolo 2017.

  • “Minimum Sobolev-norm methods for PDEs”, JCP 2015.

Vamshi Chowdary (vamshichowdary@ucsb)

• Office: 3112 HFH

• Research areas: neural network architectures, generalization of DNNs, physics based DNNs, neural operators, efficiency

• Personal website

• gScholar

Ethan Epperly (epperly@ucsb)

• Research areas: fast algorithms for structured matrices, machine learning, computational materials science

• Recent papers:

  • “Graph-Induced Rank Structures and their Representations”, submitted.

  • Comparison of Continuum and Cross-Core Theories of Dynamic Strain Aging, Journal of Mechanics and Physics of Solids, to appear.

  • Transient Solute Drag and Strain Aging of Dislocations, Acta Materialia, to appear.

• Links: gScholar

Abhejit Rajagopal, Ph.D. (now Senior AI Scientist at Allen Institute)

• Research areas: computational imaging, machine learning, inverse problems

• Thesis: “High-Dimensional Polynomial Approximation with Applications in Imaging and Recognition”, September 2019.

Chris Gorman, Ph.D. (now Researcher at MadHive)

• Research areas: numerical linear algebra, integral operators, infinite-dimensional systems, fast algorithms

• Thesis: “Applications of the Minimum Sobolev Norm and Associated Fast Algorithms”, May 2019.

Nithin Govindarajan, Ph.D. (now Postdoctoral Researcher at KU Leuven)

• Research areas: dynamical systems, infinite-dimensional operators

• Thesis: “Periodic approximations and spectral analysis of the Koopman operator: theory and applications”, December 2018.

Kristen Lessel, Ph.D, (now Co-Founder at Level Up)

• Research areas: numerical linear algebra, fast solvers for structured matrix representations (HSS, FMM)

• Thesis: “Advancements in Algorithms for Approximations of Rank Structured Matrices”, March 2020.